Dual Nature of Radiation

An electron of mass \(m\) and charge \(e\) initially at rest gets accelerated by a constant field \(2 E\). The rate of change of de-Broglie wavelength of this electron at time \(t\) ignoring relativistic effects is

In an electron gun the potential difference between the filament and plate is \(4000 \mathrm{~V}\). What will be the velocity of electron emitting from the gain?

When 0.25\(\mathop A\limits^o\) X-Rays strike a material, the photoelectrons from the \(K\) shell are observed to more in a circle of radius \(23 \mathrm{~mm}\) in magnetic field of \(4 \times 10^{-2}\) tesla active perpendicularly to the ...

The de-Broglie wavelength of an electron moving with a velocity \(\frac{c}{3}\) (c = 3 \(\times\) 108 m/s) is equal to the wavelength of photon. The ratio of the kinetic energies of electron and photon is

The stopping potential (V0) versus frequency \(\nu\) of a graph for photoelectric effect in a metal. From the graph, the Plank's constant (h) is

The potential difference applied to an X-ray tube is decreased. As a result, in the emitted radiation,

Lights of two different frequencies whose photons have energies 1.5 eV and 2.5 eV respectively illuminate a metallic surface whose work function is 0.5 eV successively. Ratio of maximum speeds of emitted electrons will be